Question

Let \( f(x)=x^3,\; x\in[-1,1] \). Then which of the following are correct?

• A. \( f' \) has a minimum at \( x=0 \).
• B. \( f' \) has the maximum at \( x=1 \).
• C. \( f' \) is continuous on \( [-1,1] \).
• D. \( f' \) is bounded on \( [-1,1] \).

Hint:

For polynomial derivatives: Always continuous. Bounded on closed intervals.

Answer 1

The Correct Option is B